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Finding the Fourth Proportional to 5,199.12, 7,799.10 and 1,736.38

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Solution

The fourth proportional to 5,199.12, 7,799.10 and 1,736.38 is: 2,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.12 : 7,799.10 = 1,736.38 : x
  2. Step 2: Convert to fraction form
    5,199.12/7,799.10 = 1,736.38/x
  3. Step 3: Cross multiply
    5,199.12x = 7,799.10 × 1,736.38
  4. Step 4: Simplify right side
    5,199.12x = 13,542,201.26
  5. Step 5: Solve for x
    x = 13,542,201.26/5,199.12
  6. Step 6: Final answer
    x = 2,604.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.